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One end of a rope is bound to a vertical wall. The other end is pulled with a horizontal force of 30 N. An additional force of 10 N is applied to the right at the point A in the middle of the rope. Which of the following is true about tensions at points P and Q

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$T_{P} = T_{Q} = 20 N$

$T_{Q} = 20 N, T_{P} = 40 N$

$T_{P} - T_{Q} = 10 N$

$T_{P} = T_{Q} = 40 N$

answer is C.

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Detailed Solution

$\begin{array}{l} T_{P} = 40 N \\ T_{Q} = 30 N \\ T_{P} - T_{Q} = 10 N \end{array}$

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